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Finding the Fourth Proportional to 13,782.15, 20,646.90 and 10,623.15

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Solution

The fourth proportional to 13,782.15, 20,646.90 and 10,623.15 is: 15,914.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,782.15 : 20,646.90 = 10,623.15 : x
  2. Step 2: Convert to fraction form
    13,782.15/20,646.90 = 10,623.15/x
  3. Step 3: Cross multiply
    13,782.15x = 20,646.90 × 10,623.15
  4. Step 4: Simplify right side
    13,782.15x = 219,335,115.74
  5. Step 5: Solve for x
    x = 219,335,115.74/13,782.15
  6. Step 6: Final answer
    x = 15,914.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.